Generalized Ordinary Differential Equations in Abstract Spaces and Applications. Группа авторов
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The next result describes an interesting property of equiregulated sets of
Theorem 1.12: Assume that a set is equiregulated and, for any , there is a number such that
Then, there is a constant such that, for every ,
Proof. Take
Then,
Let
which, together with the hypotheses, yield